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Finding the Third Proportional to 9,137 and 13,683

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Solution

The third proportional to 9,137 and 13,683 is: 20,490.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,137 : 13,683 = 13,683 : x
  2. Step 2: Convert to fraction form
    9,137/13,683 = 13,683/x
  3. Step 3: Cross multiply
    9,137x = 13,683 × 13,683
  4. Step 4: Simplify right side
    9,137x = 187,224,489
  5. Step 5: Solve for x
    x = 187,224,489/9,137
  6. Step 6: Final answer
    x = 20,490.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.